Pith Number

pith:Z2VYO7FY

pith:2017:Z2VYO7FYXJJUC4MED4LWYO2F23

not attested not anchored not stored refs pending

Statistics of patterns in typical cut and project sets

Alan Haynes, Antoine Julien, Henna Koivusalo, James Walton

arxiv:1702.04041 v1 · 2017-02-14 · math.DS · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z2VYO7FYXJJUC4MED4LWYO2F23}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:50:49.161710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ceab877cb8ba534171841f176c3b45d6c80c1445dd8b4916475b107c18d1d7f5

Aliases

arxiv: 1702.04041 · arxiv_version: 1702.04041v1 · doi: 10.48550/arxiv.1702.04041 · pith_short_12: Z2VYO7FYXJJU · pith_short_16: Z2VYO7FYXJJUC4ME · pith_short_8: Z2VYO7FY

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/Z2VYO7FYXJJUC4MED4LWYO2F23 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: ceab877cb8ba534171841f176c3b45d6c80c1445dd8b4916475b107c18d1d7f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68bacbaaac9e41c01c347ffd07af52a94c73cd5c80cb757103d84a4236c301bc",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-02-14T01:31:51Z",
    "title_canon_sha256": "f6a7a70528c738e34868772864d1a90e12bcc1c4bb0f50626ce22f3114a54347"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.04041",
    "kind": "arxiv",
    "version": 1
  }
}